Pith Number

pith:CGTSS24W

pith:2012:CGTSS24WYDA3UBVUF4HB6XJDWI

not attested not anchored not stored refs pending

Scattering theory for the defocusing fourth-order Schr\"odinger equation

Changxing Miao, Jiqiang Zheng

arxiv:1211.4668 v2 · 2012-11-20 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGTSS24WYDA3UBVUF4HB6XJDWI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:21:38.391219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a7296b96c0c1ba06b42f0e1f5d23b219162d36854916ecb598385ace020e6d

Aliases

arxiv: 1211.4668 · arxiv_version: 1211.4668v2 · doi: 10.48550/arxiv.1211.4668 · pith_short_12: CGTSS24WYDA3 · pith_short_16: CGTSS24WYDA3UBVU · pith_short_8: CGTSS24W

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CGTSS24WYDA3UBVUF4HB6XJDWI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 11a7296b96c0c1ba06b42f0e1f5d23b219162d36854916ecb598385ace020e6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27d393a72fbaeef1b610d8ae7353ae502583dd3a51a6de84acb707026231fc4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-20T05:33:33Z",
    "title_canon_sha256": "22d054e5b210392bc40d71225d774bb202ffd01ea7ef025d4faf4d24472c81d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4668",
    "kind": "arxiv",
    "version": 2
  }
}